Multidimensional stability of disturbed pyramidal traveling fronts in the Allen-Cahn equation
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Publication:2260212
DOI10.3934/dcdsb.2015.20.1015OpenAlexW2320473209MaRDI QIDQ2260212
Publication date: 10 March 2015
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2015.20.1015
asymptotic stabilityAllen-Cahn equationpyramidal traveling frontsmultidimensional stabilitythe comparison principle
Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Traveling wave solutions (35C07)
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Multidimensional stability of V-shaped traveling fronts in bistable reaction-diffusion equations with nonlinear convection ⋮ Stability of planar traveling fronts in bistable reaction-diffusion systems ⋮ Multidimensional stability of planar traveling waves for the delayed nonlocal dispersal competitive Lotka-Volterra system ⋮ Stability of planar traveling waves for a class of Lotka-Volterra competition systems with time delay and nonlocal reaction term ⋮ Multidimensional stability of traveling fronts in combustion and non-KPP monostable equations ⋮ Multidimensional stability of time-periodic planar traveling fronts in bistable reaction-diffusion equations ⋮ Multidimensional stability of V-shaped traveling fronts in time periodic bistable reaction-diffusion equations ⋮ Multidimensional stability of pyramidal traveling fronts in degenerate Fisher-KPP monostable and combustion equations ⋮ The stability of traveling waves for Allen–Cahn equations with fractional Laplacian
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